Recently Television White Spaces are used without license according to FCC rule. It is based on dynamically selection of available TV spectrum (white spaces). It gives a possibility of new sets of applications. In vehicular wireless communication system, these white spaces can easily be used on an opportunistic base. To model a multi-access multiuser architecture and analyze network performances in both wired and wireless system queueing theory has been massively used. In this paper we modeled a vehicular dynamic spectrum access (VDSA) system by using queueing theory which uses vacant TV channels for communication. Dynamically assigned allowed available channels are modeled as servers. To efficient use of these limited number of channels we defined some non-preemptive priority classes among users. The availability of servers is occurred in a time-location phenomenon. This paper examined the feasibility analysis of vehicular dynamic spectrum access performance through TV white spaces via multi server multi priority non-preemptive queueing theory. Both M/M/m and M/G/m models are employed to evaluate the probability of all channels are busy, the amount of channel utilizations by different priority class users and also to calculate the transmission latencies.